滞后区间系统的鲁棒稳定性分析及其应用

研究了滞后区间系统的鲁棒稳定性和镇定问题。基于Ｌｙａｐｕｎｏｖ原理，给出了判断滞后区间系统的时滞独立渐近稳定的充分条件，这个充分条件是一个代数Ｒｉｃｃａｔｉ不等式方程存在正定解。进一步，利用这个充分条件得到了镇定问题的解，所设计的静态线性反馈控制律保证区间闭环系统内部稳定。对国产某型飞机运动系统的分析，说明本文的结果是有用的。

Robust Stability Analysis For Interval Systemith Delay and Its aircraft Application

In engineering applications, many systems are interval system with delay (ISD), such as flight system and motor system etc. But, to our best knowledge, research on ISD is only limited to stability analysis, and the existing results are quite conservative. We present a new method of analyzing the robust stability of ISD. We first derived the robust stability condition of ISD (eq.7) by using Lyapunov stability theorem. Then we gave a solution for stabilizing ISD (eqs.11 and 12). We did not find anything like eqs.7, 11, and 12 in the open literature. Finally we took a certain type of Chinese aircraft as an example, whose model can be described by eqs.(1), (14), and (15). Eq.(16) shows that the system is robustly stable even when the perturbations of parameters exceed 30% as shown in the two matrices H and H d in eq.(15).